Least Common Multiple of 140/27, 228/78, 943/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/27, 228/78, 943/385 quickly i.e. 7525140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/27, 228/78, 943/385 is 7525140.

LCM(140/27, 228/78, 943/385) = 7525140

LCM of 140/27, 228/78, 943/385

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 140/27,228/78,943/385

Given numbers are 140/27,228/78,943/385

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 140,228,943

Least Common Multiple of Numerators i.e. LCM of 140,228,943 is 7525140.

GCF of Denominators means GCF of 27,78,385 as per the given fractions.

GCF of 27,78,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,228,943

LCM of Fractions 140/27,228/78,943/385 is 7525140

2 140, 228, 943
2 70, 114, 943
35, 57, 943

∴ So the LCM of the given numbers is 2 x 2 x 35 x 57 x 943 = 7525140

Least Common Multiple of 140,228,943 with GCF Formula

Least Common Multiple of 140,228,943 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 140,228,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,228,943) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(140,228,943) x common factors =1 x 4 = 4

LCM(140,228,943) = ( 140 × 228 × 943 ) / 4

LCM(140,228,943) = 30100560 / 4

LCM(140,228,943) = 7525140


Lets's calculate GCF of 27,78,385

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7525140/1

Therefore the LCM of Fractions 140/27,228/78,943/385 is 7525140

Greatest Common Factor of 27,78,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,78,385 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 27,78,385 . The biggest common factor number is the GCF number.
So the greatest common factor 27,78,385 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 140/27, 228/78, 943/385

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 140/27, 228/78, 943/385?

Answer: LCM of Numerators as per given numbers 140/27, 228/78, 943/385 is

LCM of Numerators i.e. for 140,228,943 is 7525140

GCF of denominators i.e. for 27,78,385 is 1.

Thus, LCM of Fractions is 7525140.Finally, LCM of Fractions for 140/27, 228/78, 943/385 is 7525140.